{"paper":{"title":"Height fluctuations in interacting dimers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Alessandro Giuliani, Fabio Lucio Toninelli, Vieri Mastropietro","submitted_at":"2014-06-30T12:54:01Z","abstract_excerpt":"We consider a non-integrable model for interacting dimers on the two-dimensional square lattice. Configurations are perfect matchings of $\\mathbb Z^2$, i.e. subsets of edges such that each vertex is covered exactly once (\"close-packing\" condition). Dimer configurations are in bijection with discrete height functions, defined on faces $\\boldsymbol{\\xi}$ of $\\mathbb Z^2$. The non-interacting model is \"integrable\" and solvable via Kasteleyn theory; it is known that all the moments of the height difference $h_{\\boldsymbol{\\xi}}-h_{\\boldsymbol{\\eta}}$ converge to those of the massless Gaussian Free"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7710","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}